I think you're the first person I've met who knows DMMD though the anime and not the game! The anime really was very lackluster compared to the actual games, so you're in for a very nice surprise when you play them. :) Assuming you don't mind dark settings and hard yaoi, of course.

I actually haven't seen Love Live for the same reason, lol! Every time I see a Nico or Nozomi figure I get the urge to watch the anime so I can justify spending money on their merch...